2. Graph and find the vertical asymptote of the function: x² +1 3x - 2x² y =

Q: Determine whether the graph represents y as a function of x. Explain your answer. (a) -6-4-2 y 12 10…

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Q: If y=sin(tan(3x)), then dy dx Check = Select one: O a. 3cos (tan(3x))sec²(3x) O b. cos…

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Q: Given that lim f(x) = 4 X-1 (b) lim [g(x)]³ X-1 (c) lim x-1 find each limit, if it exists. (If an…

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Q: Find the velocity, acceleration, and speed of a particle with position function r(t)= (-7 cost, 5t,…

A: As we know the expression for the velocity is: vt=drtdt The expression for the acceleration is:…

Q: choose the correct answer A list of numbers has been given. Find the pattern necessary to complete…

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Q: Let f(xy) = x²-3x

A: Concept: Partial derivative with respect to x fxuv=v∂u∂x-u∂v∂xv2

Q: Question Given f(x) = -4x³ – 3, use a table to estimate the slope of the tangent line to f at the…

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Q: Question Find the average rate of change of the function f(x) = −3x² - 4x + 2 between x = -1 and x =…

A: Given function f(x)=-3x2-4x+2To find: average rate of function between x=-1 to x=1

Q: Consider the following. f(x) = 24-2x-x² (a) Find f(x). f'(x) = (b) Graph both f(x) and f(x) with a…

A: The given function is:fx=24-2x-x2.

Q: Q3/ Solve the following second-order differential equations: three) 1- y"-y-2y = e³x

A: Note:- These are multiple questions and accroding to company guideline we can do maximum 1 question…

Q: Find the area of the shaded region. 72 e-1 على E -1.0 -0.5 14 12 10 y= 5e/ 8 0.5 (1, 5e) y=5xex² 1.0…

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Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy dx = x³ + 2x 31X == = 4 cos 6x…

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Q: .Consider the hemi-spherical tank of radius 13 m as shown in the figure (not drawn to ale). What is…

A: Topic = Volume

Q: Find a formula for the inverse of the function g(x) Answer: g-¹(x) --- ex 5+2e

A: If f(x)=y, and f(x) is a bijection then the inverse of the function f is given by f-1(y)=x.

Q: Find the limit of 9x+2 lim x-∞ 14x-√√81x²-2 = lim x-∞ 14x 9x + 2 81x² - 2

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Q: x² - 16 1) lim x-4 x +4

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Q: du Q2/ Find əx at (x, y, z) = (²) for u = eab sin-¹ q where q = sinx, a = z²lny, b = Hint : sin…

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Q: For what values of a and c is the piecewise function ax² + sin x, x ≤T f(x)= 2x-c, x> π…

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Q: Do Dice Play God? from Ian Stewart's Nature's Numbers. Explain your understanding and give some…

A: Not only does God definitely play dice, but He sometimes confuses us by throwing them where they…

Q: Let v = (7,8). Suppose w E R² is perpendicular to v, and that ||w|| = 7. Find both possible vectors…

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Q: x − 2 lim x-2 √√√√x - √2)

A: SOLUTION-

Q: Which of the following would not be a representation of the differentiable function f, where f '(5)…

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Q: Write the equation of the line passing through (3, 3) that is perpendicular to 5x - 6y = 4.

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Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the…

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d dx (-9x³ + 4x² - 7x)…

A: Topic - derivative of a function. we are given function:-9x3+4x2-7xand we know thatddxxn=nxn-1

Q: 4-Evaluate sin-1 (-¹).

A:

Q: f(t) = 18 h(t) = -2t Evaluate. f(h(-5))=[ Show Calculator Stuck? Review related articles/videos or…

A: Topic = Functions

Q: Q3. For the following matrices find x, y, z, and w, then check your solution. 2y] 4w 6 [² ²Y] = [ ³2…

A: Given 6x2y zw=3x8 -24w+92x+5y 5z+w2

Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

A: Consider the function

Q: Set up but do not evaluate the integral to find the length of the arc of the curvey = x = 5 to x =…

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Q: Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) +…

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Q: Comet Craig-1959 moves along an ellipse with equation 49x² + 4y² - 196 = 0 (shown below) -10-9-8-7-6…

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Q: 5. Prove that x + y ≤ x − y + x + y for all x, y € R. Hint: Use the triangle inequality.

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Q: the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2 (a) Find…

A: Given, the cost function C(x)=100+50x-0.02x2 a) The average rate of change of the function from…

Q: QUESTION 6 Let f(x)=√x_and g(x)=x² Find fg and state its domain ○ ƒ•g(x) = |x| Domain: [0, ∞0) ○…

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Q: use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Let f(x) = 1 x-2 Find and simplify the difference quotient: f(x)-f(a) x-a

A: Given that:  f(x) = 1/(x-2) . And we find. ( f(x)-f(a))/(x-a).   We know that l.c.m.of : 1/x +1/a =…

Q: Use the table to evaluate the expression. f(g(2)) X f(x) g(x) 1 2 4 2 3 5 3 5 1 4 1 6 5 6 2 6 3 3

A: x 1 2 3 4 5 6 f(x) 2 3 5 1 6 3 g(x) 4 5 1 6 2 3

Q: Find the area of the triangle PQR

A: As we know that; If the vertices of the triangle△PQR are given, then the expression for the area of…

Q: Evaluate the indefinite integral. (Use C for the constant of integra I sin(110) sin (11t)…

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Q: Tutorial Exercise Write the equation of the line that passes through the given point and has the…

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Q: (d) lim LI-IX √x²+2x+1 x² - 1

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Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x³ +…

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: To approximate the zero of the given function using Newton's Method

Q: Transform the following equation of ellipse in standard for 7x²-10v² 56x +100y +278=0

A: 7x2-10y2-56x+100y+278=0 We have to convert into standard form. Lets first make a perfect square in x…

Q: = 1. If the Let P(6, 3) be a point on the hyperbola 2 h² a normal at point P intersects the x-axis…

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Q: dy dx + y = f(x), y(0) = 1, where f(x): = (1, 0≤x≤1 -1, x>1

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Q: In(x + y) = tan -1 X Y

A: Topic - implicit differentiation we are given, ln(x+y)=tan-1xyWe know…

Q: Find the derivative of the vector function r' (t) = (1/-2t r(t) = n(17t²)i + √13+tj + let k 4e^4

A: Find the derivative of the vector functionr(t)=ln17-t2i+13+tj+1e4tkr'(t)=ddtln17-t2i+13+tj+1e4tk

Q: Evaluate the following integral: where a > 0. Hint: First, evaluate the following integrals a. -1/a…

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